If a sequence is defined by \(a_n=a_{n-1}\times a_{n-2}+1\) for \(n\ge 3,\) and if \(a_1=1\) and \(a_2=1,\) what is the

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If a sequence is defined by \(a_n=a_{n-1}\times a_{n-2}+1\) for \(n\ge 3,\) and if \(a_1=1\) and \(a_2=1,\) what is the \(6\,th\) term?

(A) 1
(B) 7
(C) 22
(D) 155
(E) 721

Answer: C

Source: Magoosh
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